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Calc 2 Question

  1. Jul 9, 2005 #1
    Hello all. I am currently attending a community colleges Analytic Geometry and Calculus 1 course, and have just been accepted to a University for the fall. My question is do you all think that I will be ready for calc 2, or should I retake calc 1? I am doing pretty good in calc 1, but I am worried that we will not cover all of the material that would be covered at a university level calc 1 course. I spoke with the advisor of the engineering department at the university and she said calc 2 at this school begins with series. Calc 1 at the community college will end with the introduction of integration. The advisor said she thinks that I would be ready though, but I am not sure. Here is a complete list of the sections we have and will cover in calc 1 at the community college:
    Finding Limits Graphically an Numerically
    Evaluating LImists Anylically
    Continuity and One-Sided Limits
    Infinite Limits
    The Derivative and the Tangent Line Problem
    Basic Differentiation Rules and Rates of Change
    THe Product and Quotient Rules and Higher Order Derivatives
    The Chain Rule
    Implicit Differentiation
    Related Rates
    Extrema on an Interval
    Rolle's Theorum and the Mean Value Theorum
    Increasing and Decreasing Functions and the First Derivative Test
    Concavity and the Second Derivative Test
    Limits at Infinity
    A Summary of Curve Sketching
    Optimization Problems
    Newton's Method
    Differentials
    Antiderivatives and Indefinite Integration
    Area
    Rieman Sums and Definite Integration
    The Fundamental Theorum of Calculus
    Integration by Substitution
    Nemerical Integration
    The Natuaral Logarithmic Function: Differentiation
    The Natuaral Logarithmic Function: Integration
    Inverse Functions
    Exponential Functions: Differentiation and Integration
    Bases other than e and Applications
     
  2. jcsd
  3. Jul 9, 2005 #2
    I think if you feel comfortable with the material, you will be fine. Calc II is basically calculus one with more advanced integration topics, and sequences and series. I really found Calc II no harder than Calc I. So that's my advice.
     
  4. Jul 11, 2005 #3
    Should I erase this thread and put it in the Acedemic and Career Guidance forum? I forgot that this forum existed. This seems more apropriate. How do I go about doing this?
     
  5. Jul 11, 2005 #4
    You'll be fine for Calc. II. Go for it.
     
  6. Jul 11, 2005 #5
    Do you really think so. I am extemely concerned that I will not be ready.
     
  7. Jul 11, 2005 #6
    One of the moderators will have to move it. You can PM one of them.
     
  8. Jul 11, 2005 #7

    lurflurf

    User Avatar
    Homework Helper

    If you understood Calc. I this will not be a problem. Courses at different schools cover different topics, courses at the same school cover different topics. This is not a reason to repeat a course you have understood. If the choice of topics is a concern try to find out what Calc. I at the new school covered and study any thing you do not know on your own. Also some of the topics your course omitted may not be used subsequently, so if there is a time crunch those topics can be studied later for your own knowlege. If you cannot find out what topics you may have missed, you could take a worst case approch and study all topics that may be covered in Calc. 1 except series (as you have been told they were not). These may include
    Trigonometric functions
    Hyperbolic functions
    Le Hopitals rule
    Classification of indeterminate forms
    Integation methods
    by parts
    repeated use
    solving for desired integral
    special substitutions
    trig sub
    hyp sub
    logarithmic forms
    partial fractions
    repeated factors
    x^2+a^2 forms
    cover up method
    Applications
    differentiation
    related rates
    optimization
    integration
    work
    area/volume/centroid/moment of inertia
    Differential equations
    Seperation of variables
    applications
    general and particular solutions
     
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